Mathematics and the "Language Game"

Review of Metaphysics 11 (3):446 - 458 (1958)
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Abstract

What is new here is the detailed discussion of several important results in the classical foundations of mathematics and of the relation of logic to mathematics. As regards logical questions, the central thesis of Wittgenstein's later philosophy is well known, both from the earlier posthumous volume and from the writings of his many disciples. In the Investigations the thesis is applied to the "logic of our expressions" in everyday contexts; here he discusses in the same spirit the more specialized language used in talking about the foundations of mathematics.

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